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babymother [125]

3 years ago

14

Assume a mats price from the start is "X" USD. Write an expression for what the mat would cost after being reduced by P % (unkno

wn amount of percentage)

1 answer:

natka813 [3]3 years ago

7 0

Answer:

Step-by-step explanation:

$cost \ price = X\\Deduction = P \%\\Deduction \ Price = P \% of X = \frac{P}{100} \times X = \frac{XP}{100} \\\\Cost \ price \ after \ deduction = X -\frac{XP}{100}$

OR SIMPLIFY FURTHER

$X - \frac{XP}{100} = X( 1 - \frac{P}{100} )$

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Find the value of x. Write your response in the form x=_____.

aleksandrvk [35]

21x-33°=180°-135°
21x=12°
x=12/21

6 0

3 years ago

I need algebra help.....

Lubov Fominskaja [6]

Answer:

$y=4(3)^x$

Step-by-step explanation:

From the table given in the question,

x y Difference Ratio

1 12 - -

2 36 36-12 = 24 $\frac{36}{12}=3$

3 108 108-36 = 72 $\frac{108}{36}=3$

4 324 324-108 = 216 $\frac{324}{108}=3$

5 972 972-324 = 648 $\frac{648}{216}=3$

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

$y=a(b)^x$

For a point $(1, 12),$

$12=a(b)^1$

$ab=12$ ------(1)

For another point of the table $(2,36)$ ,

$36=a(b)^2$

$ab^2=36$ --------(2)

Equation (2) divided by equation (1)

$\frac{ab^2}{ab}=\frac{36}{12}$

$b=3$

From equation (1),

$3a=12$

$a=4$

Therefore, exponential function will be,

$y=4(3)^x$

7 0

3 years ago

Soloha48 [4]

Desert Shores is below the sea level and the difference is more than 600 feet

4 0

3 years ago

The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.

NISA [10]

Answer:

$8.2-2.58\frac{2.2}{\sqrt{18}}=6.86$

$8.2+2.58\frac{2.2}{\sqrt{18}}=9.54$

So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:

$ME= 2.58\frac{2.2}{\sqrt{18}} =1.338$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=8.2$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=2.2$ represent the population standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$8.2-2.58\frac{2.2}{\sqrt{18}}=6.86$

$8.2+2.58\frac{2.2}{\sqrt{18}}=9.54$

So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:

$ME= 2.58\frac{2.2}{\sqrt{18}} =1.338$

8 0

3 years ago

Read 2 more answers

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n

sp2606 [1]

Let the number of adults be x, then number of male students is 1 + 7x and the number of female students is (1 + 7x)/2.
x + 1 + 7x + (1 + 7x)/2 = 82
2x + 2 + 14x + 1 + 7x = 164
23x = 164 - 2 - 1 = 161
x = 161/23 = 7

Therefore, number of male students is 1 + 7(7) = 1 + 49 = 50
and the number of female students is 50/2 = 25.

5 0

3 years ago